#include <algorithm>
#include <vector>
#include <cmath>
#include <cstdio>
#include <cstring>
#define MAX_N 100000
using namespace std;
vector<int> neighbours[MAX_N];
int value[MAX_N];
int level[MAX_N];
int subtree[MAX_N];
int parent[MAX_N];
bool visited[MAX_N];
vector<int> chains[MAX_N];
int chain_index[MAX_N];
size_t chain_position[MAX_N];
int num_chains = 0;
vector<int> tree[MAX_N];
void insert_node(int chain, int node)
{
chain_position[node] = chains[chain].size();
chains[chain].push_back(node);
chain_index[node] = chain;
}
void dfs(int root)
{
int heavy_node = -1;
bool leaf = true;
visited[root] = true;
subtree[root] = 1;
for (vector<int>::iterator it = neighbours[root].begin(); it != neighbours[root].end(); ++it) {
int node = *it;
if (!visited[node]) {
leaf = false;
level[node] = level[root] + 1;
parent[node] = root;
dfs(node);
subtree[root] += subtree[node];
if (heavy_node == -1 || subtree[node] > subtree[heavy_node]) {
heavy_node = node;
}
}
}
if (leaf) {
insert_node(num_chains, root);
++num_chains;
} else {
int heavy_chain = chain_index[heavy_node];
insert_node(heavy_chain, root);
}
}
size_t pow2(int k)
{
size_t result = 1;
return result << k;
}
int get_msb(size_t n)
{
int k = 0;
for (; n > 0; n >>= 1)
k++;
return k;
}
int get_upper_exp(size_t n)
{
int k = get_msb(n);
size_t result = pow2(k - 1);
if (result == n)
return k - 1;
else
return k;
}
void build_interval_tree(vector<int> &tree, const vector<int> &chains)
{
const int num_bits = get_upper_exp(chains.size());
size_t tree_size = pow2(num_bits + 1) - 1;
tree.resize(tree_size);
size_t offset = pow2(num_bits) - 1;
for (size_t i = 0; i < chains.size(); i++)
tree[offset + i] = value[chains[i]];
for (int k = num_bits - 1; k >= 0; k--) {
offset = pow2(k) - 1;
for (size_t i = 0; i <= offset; i++) {
size_t index = offset + i;
size_t left_index = 2 * index + 1;
size_t right_index = left_index + 1;
int &parent = tree[index];
int &left = tree[left_index];
int &right = tree[right_index];
parent = max(left, right);
}
}
}
int update_tree(vector<int> &tree, int index, int start, int end,
int left, int right, int elem)
{
int &node = tree[(size_t) index];
if (right < start || end < left)
return node;
int left_index = (index << 1) + 1;
int right_index = left_index + 1;
//propagate_flips(tree, node, left_index, right_index, start < end);
if (left <= start && end <= right) {
node = elem;
#if 0
if (start < end) {
if (axis) {
tree[left_index].flip_x ^= 1;
tree[right_index].flip_x ^= 1;
} else {
tree[left_index].flip_y ^= 1;
tree[right_index].flip_y ^= 1;
}
}
#endif
} else {
int mid = start + ((end - start) >> 1);
int left_max = update_tree(tree, left_index, start, mid,
left, right, elem);
int right_max = update_tree(tree, right_index, mid + 1, end,
left, right, elem);
node = max(left_max, right_max);
}
return node;
}
int query_tree(vector<int> &tree, int index, int start, int end,
int left, int right)
{
int max_elem = 0;
if (right < start || end < left)
return max_elem;
int left_index = (index << 1) + 1;
int right_index = left_index + 1;
max_elem = tree[(size_t) index];
//propagate_flips(tree, node, left_index, right_index, start < end);
if (left <= start && end <= right)
return max_elem;
int mid = start + ((end - start) >> 1);
int left_max = query_tree(tree, left_index, start, mid,
left, right);
int right_max = query_tree(tree, right_index, mid + 1, end,
left, right);
return max(left_max, right_max);
}
int update_full_tree(vector<int> &tree, int left, int right, int elem)
{
return update_tree(tree, 0, 0, tree.size() / 2, left, right, elem);
}
int query_full_tree(vector<int> &tree, int left, int right)
{
return query_tree(tree, 0, 0, tree.size() / 2, left, right);
}
int solve_problem()
{
int n, m;
if (scanf("%d %d", &n, &m) != 2)
return 1;
for (int i = 0; i < n; i++)
if (scanf("%d", &value[i]) != 1)
return 1;
for (int i = 1; i < n; i++) {
int x, y;
if (scanf("%d %d", &x, &y) != 2)
return 1;
--x;
--y;
neighbours[x].push_back(y);
neighbours[y].push_back(x);
}
level[0] = 0;
parent[0] = -1;
dfs(0);
for (int k = 0; k < num_chains; k++) {
build_interval_tree(tree[k], chains[k]);
}
for (int i = 0; i < m; i++) {
int t, x, y;
if (scanf("%d %d %d", &t, &x, &y) != 3)
return 1;
if (t == 0) {
--x;
value[x] = y;
int x_chain = chain_index[x];
size_t left = chain_position[x];
update_full_tree(tree[x_chain], left, left, y);
} else {
--x;
--y;
int max_elem = 0;
while (y >= 0) {
int x_chain = chain_index[x];
int y_chain = chain_index[y];
int px = chains[x_chain].back();
int py = chains[y_chain].back();
if (px == py) {
size_t left = chain_position[x];
size_t right = chain_position[y];
if (left > right)
swap(left, right);
int cand = query_full_tree(tree[y_chain], left, right);
max_elem = max(max_elem, cand);
break;
} else {
if (level[px] > level[py]) {
swap(x, y);
swap(x_chain, y_chain);
swap(px, py);
}
int cand = query_full_tree(tree[y_chain], chain_position[y], chains[y_chain].size() - 1);
max_elem = max(max_elem, cand);
y = parent[py];
}
}
printf("%d\n", max_elem);
}
}
return 0;
}
int main()
{
const char *filenames[] = {
"heavypath.in",
"heavypath.out",
};
if (freopen(filenames[0], "rt", stdin) == NULL) {
fprintf(stderr, "Could not reopen stdin\n");
return 1;
}
if (freopen(filenames[1], "wt", stdout) == NULL) {
fprintf(stderr, "Could not reopen stdout\n");
return 1;
}
solve_problem();
return 0;
}